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Finding the Third Proportional to 566.02 and 1,238.30

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Solution

The third proportional to 566.02 and 1,238.30 is: 2,709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.02 : 1,238.30 = 1,238.30 : x
  2. Step 2: Convert to fraction form
    566.02/1,238.30 = 1,238.30/x
  3. Step 3: Cross multiply
    566.02x = 1,238.30 × 1,238.30
  4. Step 4: Simplify right side
    566.02x = 1,533,379.15
  5. Step 5: Solve for x
    x = 1,533,379.15/566.02
  6. Step 6: Final answer
    x = 2,709.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.